Constrained search for a partial principal balance on grouped parts — partial_pb_constrained • coda.base

Builds a single grouped constrained principal balance from the first principal component of the grouped composition.

partial_pb_constrained(X, lI = NULL, constrained.criterion = "variance")

Arguments

X: A numeric matrix with strictly positive finite entries. Rows are observations and columns are compositional parts.
lI: A list defining a partition of a subset of the columns of X. If NULL, each column of X is used as a singleton group.
constrained.criterion: Criterion used to choose the constrained balance. Either "variance" (default) or "angle".

Value

A list with the following elements:

dim: Dimension of the grouped problem, equal to length(lI) - 1.
lI: The input grouping structure.
variance: Variance criterion of the selected grouped balance.
balance_raw: Integer vector in \(\{-1,0,1\}\) describing the selected grouped split.
balance: The corresponding one-column balance basis.
constrained.criterion: Criterion used to construct the balance.